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Finding the Third Proportional to 3,480 and 6,472

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Solution

The third proportional to 3,480 and 6,472 is: 12,036.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480 : 6,472 = 6,472 : x
  2. Step 2: Convert to fraction form
    3,480/6,472 = 6,472/x
  3. Step 3: Cross multiply
    3,480x = 6,472 × 6,472
  4. Step 4: Simplify right side
    3,480x = 41,886,784
  5. Step 5: Solve for x
    x = 41,886,784/3,480
  6. Step 6: Final answer
    x = 12,036.43

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.